MULTICOMMODITY NETWORK FLOWS WITH NONCONVEX ARC COSTS

Philippe Mahey, Maurício Cardoso de Souza · Pesquisa Operacional · 2017

We present a survey on nonconvex models and algorithms for multicommodity network design problems. We put in perspective the alternative modelling of these problems, traditionally represented by mixed-integer linear programs, by separable nonconvex arc cost functions. We show in particular that some problems take profit of a continuous modelling and explore the case of capacity expansion of communications networks.

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